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Finding the Fourth Proportional to 455,548.64, 683,093.57 and 151,835.22

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Solution

The fourth proportional to 455,548.64, 683,093.57 and 151,835.22 is: 227,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,548.64 : 683,093.57 = 151,835.22 : x
  2. Step 2: Convert to fraction form
    455,548.64/683,093.57 = 151,835.22/x
  3. Step 3: Cross multiply
    455,548.64x = 683,093.57 × 151,835.22
  4. Step 4: Simplify right side
    455,548.64x = 103,717,661,722.36
  5. Step 5: Solve for x
    x = 103,717,661,722.36/455,548.64
  6. Step 6: Final answer
    x = 227,676.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.